what is the value of log₇343?\n-3\n-1/3\n1/3\n3

Explanation:

Step1: Recall log - exponent relationship

Let $y = \log_{7}343$. By the definition of logarithms, if $y=\log_{a}x$, then $a^{y}=x$. So we need to find $y$ such that $7^{y}=343$.

Step2: Express 343 as a power of 7

We know that $7\times7\times7 = 7^{3}=343$.

Answer:

D. 3